350560728 has 96 divisors (see below), whose sum is σ = 1088724000. Its totient is φ = 99823104.

The previous prime is 350560711. The next prime is 350560751. The reversal of 350560728 is 827065053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350560692 and 350560701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174900 + ... + 176892.

It is an arithmetic number, because the mean of its divisors is an integer number (11340875).

Almost surely, 2^350560728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350560728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544362000).

350560728 is an abundant number, since it is smaller than the sum of its proper divisors (738163272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350560728 is a wasteful number, since it uses less digits than its factorization.

350560728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 350560728 is about 18723.2670226112. The cubic root of 350560728 is about 705.1060169522.

The spelling of 350560728 in words is "three hundred fifty million, five hundred sixty thousand, seven hundred twenty-eight".